K13a1173
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Polynomial invariants
| Jones polynomial | Data:K13a1173/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+18 t^2-59 t+87-59 t^{-1} +18 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1173/Conway Polynomial |
| Determinant | 245 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-3 z^2 a^4-a^4+3 z^4 a^2+z^2 a^2+a^2-z^6+z^4-z^2-1-z^6 a^{-2} -2 z^2 a^{-2} +2 z^4 a^{-4} +z^2 a^{-4} + a^{-4} -z^2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-2} +z^{12}+4 a z^{11}+8 z^{11} a^{-1} +4 z^{11} a^{-3} +6 a^2 z^{10}+14 z^{10} a^{-2} +7 z^{10} a^{-4} +13 z^{10}+6 a^3 z^9+a z^9-8 z^9 a^{-1} +4 z^9 a^{-3} +7 z^9 a^{-5} +5 a^4 z^8-6 a^2 z^8-44 z^8 a^{-2} -14 z^8 a^{-4} +4 z^8 a^{-6} -37 z^8+3 a^5 z^7-6 a^3 z^7-7 a z^7-13 z^7 a^{-1} -37 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-8 a^4 z^6+4 a^2 z^6+47 z^6 a^{-2} -2 z^6 a^{-4} -13 z^6 a^{-6} +49 z^6-7 a^5 z^5-3 a^3 z^5+5 a z^5+25 z^5 a^{-1} +45 z^5 a^{-3} +18 z^5 a^{-5} -3 z^5 a^{-7} -3 a^6 z^4+a^4 z^4-7 a^2 z^4-22 z^4 a^{-2} +12 z^4 a^{-4} +12 z^4 a^{-6} -33 z^4+5 a^5 z^3+3 a^3 z^3-8 z^3 a^{-1} -19 z^3 a^{-3} -7 z^3 a^{-5} +2 z^3 a^{-7} +3 a^6 z^2+3 a^4 z^2+4 a^2 z^2+5 z^2 a^{-2} -6 z^2 a^{-4} -4 z^2 a^{-6} +11 z^2-a^5 z-2 a z-2 z a^{-1} +2 z a^{-3} +z a^{-5} -a^6-a^4-a^2+ a^{-4} -1 }[/math] |
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